1) spacelike curve
类空曲线
1.
In this paper,we defined the notions of lightcone Gauss map and lightcone height function of a spacelike curve in Minkowski 4-space,and established the relationships between singularities of these objects and geometric invariants of curves under the action Lorentz group.
定义了四维M inkow sk i空间内类空曲线的光锥高斯映射、光锥高度函数的概念,建立了这些对象的奇点与在洛仑兹群作用下曲线的几何不变量之间的关系。
2.
In this paper as an applications of unfolding of functions by one-variable theory rudimentary classified singularities of a spacelike curve in Minkowski 4-space.
利用单变量函数的开折理论对R14空间内类空曲线的奇点进行了初步分类。
2) Dual space-like normal curve
双类空法曲线
3) spacelike surface
类空曲面
1.
In Minkowski space R~(3,1) by employing the method of moving frames to describe construcions and to make local calculations,the equations about asymptotic direction and asymptotic curve of spacelike surface are obtained,and some corresponding results obtained before are extended and improved.
考虑Minkowski空间R3,1中类空曲面的渐近方向与渐近曲线,采用活动标架的方法进行局部计算和整体结构的刻画,得到了渐近方向与渐近曲线的一般方程,推广并改进了已有的结果,并通过具体例子加以阐述。
2.
In this paper,we mainly study some properties of spacelike surface in quasi-Euclidean space R~4_2 by given the relation between the Hopf transformation L(h) from the space of real symmetric matrices h=(h_(ij)) onto C and mean curvature vector H ,we also generalize Pinl′s result about Gauss map to R~4_2 .
给出2阶实对称矩阵(h=(hij))空间到C的Hopf变换L(h)与平均曲率向量H满足的条件,讨论了拟欧氏空间R42中的类空曲面的一些性质,并将Pinl关于Gauss映射的一个结果推广到拟欧氏空间R42上。
3.
In this paper we prove the first and the second and the third fundamental forms of a spacelike surface in Minkowski 3-space Satisfy the following equation.
本文将证明在三维Minkowski空间中的类空曲面M2 上的第一、第二、第三基本形式满足KⅠ -2HⅡ +Ⅲ =
4) spacelike surfaces
类空曲面
1.
In this paper,the spacelike surfaces with the null mean curvature of form af(x)+bg(y)+h(z)=0 in the 3-dimensional Minkowski space are discussed then we can gain inverse function on the spacelike surfaces.
讨论三维Minkowski空间L3={R3:dx2 +dy2 -dz2 }中型如af(x) +bg(y) +h(z) =0极大类空曲面 ,得到该曲面的反函数形
5) space-like surface
类空曲面
1.
Let M be a complete space-like surface in de Sitter space S~(2+p)_p(1)with parallel mean curvature vector H and constant nonnegative curvature,then it is isometric to a sphere or an Euclidean plane or a hyperbolic cylinder in S~3_1(1).
设M为de Sitter空间Sp2+p(1)中具有非负常曲率和平行平均曲率向量的完备类空曲面,则它与S31(1)中的球面、欧氏平面、双曲柱面等距。
6) Class II curve
II类曲线
补充资料：Hesse曲线(代数曲线的)
Hesse曲线(代数曲线的)
Hessian (algebraic curve)
11油限曲线(代数曲线的)【H台自11(.妙如允.抖e);recc咖，T~aaa，即r药pa一吸ee二o‘二p.助蓝] n次代数曲线(司罗玩水c~)的He丈祀曲线就是其极二次曲线能分裂为两条直线的点的集合，也是第一极曲线的二重点构成的集合.n次非奇异曲线的He丈七曲线是一条次数为3伪一2)、类为3(n一2)(3n一7)的曲线.设介O是这条n次曲线的齐次坐标方程，关丘=刁:f/刁xi刁、，则它的He丈犯曲线的定义方程为 !不:关:五，} }五:关:五31=0. }人，人2人3}特征不等于3时的三次非奇异曲线的H既七曲线与这条曲线交于9个通常拐点.因O.H改e(l 844)而得名. A .E.H困阳。B撰
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